Solve each equation for principal values of x. Express solutions in degrees. cos x = 3 cos x – XXXXXXXXXXsin 2 x – 1 = 0 Solve each equation for 0°= x sec 2 x + tan x – 1 = 0 4. cos 2x + 3 cos x – 1 =...

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Solve each equation for principal values of x. Express solutions in degrees.


  1. cos x
    = 3
    cos x
    – 2 2. 2 sin2x – 1 = 0



Solve each equation for 0°= x

  1. sec2
    x + tan x – 1 = 0 4. cos 2x + 3 cos x – 1 = 0



Solve each equation for 0 = x

  1. 4 sin2
    x – 4 sin x + 1 = 0 6. cos 2x + sin x = 1



Solve each equation for all real values of x.

  1. 3 cos 2x – 5 cos x = 1 8. 2 sin2
    x – 5 sin x + 2 = 0





  1. 3 sec2
    x – 4 = 0 10. tan x (tan x – 1) = 0




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Solving Trigonometric Equations Solve each equation for principal values of x. Express solutions in degrees. cos x = 3 cos x – 2 2. 2 sin2x – 1 = 0 Solve each equation for 0°= x <><>






Solving Trigonometric Equations Solve each equation for principal values of x. Express solutions in degrees. 1. cos x = 3 cos x – 2 2. 2 sin2x – 1 = 0 Solve each equation for 0°≤ x < 360°.="" 3.="" sec2="" x="" +="" tan="" x="" –="" 1="0" 4.="" cos="" 2x="" +="" 3="" cos="" x="" –="" 1="0" solve="" each="" equation="" for="" 0="" ≤="" x="">< 2 5. 4 sin2 x – 4 sin x + 1 = 0 6. cos 2x + sin x = 1 solve each equation for all real values of x. 7. 3 cos 2x – 5 cos x = 1 8. 2 sin2 x – 5 sin x + 2 = 0 9. 3 sec2 x – 4 = 0 10. tan x (tan x – 1) = 0 2="" 5.="" 4="" sin2="" x="" –="" 4="" sin="" x="" +="" 1="0" 6.="" cos="" 2x="" +="" sin="" x="1" solve="" each="" equation="" for="" all="" real="" values="" of="" x.="" 7.="" 3="" cos="" 2x="" –="" 5="" cos="" x="1" 8.="" 2="" sin2="" x="" –="" 5="" sin="" x="" +="" 2="0" 9.="" 3="" sec2="" x="" –="" 4="0" 10.="" tan="" x="" (tan="" x="" –="" 1)="">
Answered Same DayDec 20, 2021

Answer To: Solve each equation for principal values of x. Express solutions in degrees. cos x = 3 cos x –...

David answered on Dec 20 2021
116 Votes
Solution 1:
2cos x 2
cos x 1
x 0
 
 
 
Solution 2:
2sin x 1/2
sinx 1/ 2
sinx si
n45
x 45


 
  
  
 
Solution 3:
21 tan x tanx 1 0
tanx(1 tanx) 0
tanx 0or tanx 1
x 0 ,135 ,180 ,315   
    
  
   
 

Solution 4:
2
2
2cos x 1 3cos x 1 0
2cos x 3cos x 2 0
(2cos x 1)(cos x 2) 0
As cos x 2
cos x 1/2
x 60 ,360...
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